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Zbl 1100.58015
Léandre, Rémi; Rogers, Alice
Equivariant cohomology, Fock space and loop groups. (English)
[J] J. Phys. A, Math. Gen. 39, No. 38, 11929-11946 (2006). ISSN 0305-4470

Summary: Equivariant de Rham cohomology is extended to the infinite-dimensional setting of a loop subgroup acting on a loop group, using Hida supersymmetric Fock space for the Weil algebra and Malliavin test forms on the loop group. The Mathai--Quillen isomorphism (in the BRST formalism of Kalkman) is defined so that the equivalence of various models of the equivariant de Rham cohomology can be established.

MSC 2000:: *58J65 Diffusion processes and stochastic analysis on manifolds
60J65 Brownian motion
81T60 Supersymmetric field theories
22E70 Appl. of Lie groups to physics
55N25 Homology with local coefficients, equivariant cohomology
22E67 Loop groups and related constructions

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